A method for multiple steady line heat sources identification in a diffusive system: application to an experimental 2D problem

Two Phase Flow Experimental Study Inside a Microchannel: Influence of Gravity Level on Local Boiling Heat Transfer

“…Here, we introduce quickly the estimation method to explain how we estimate our parameter (Le Niliot, 2001). It consists in inversing experimental data measurements (thermocouples) to obtain the surface temperature and the surface flux density in the minichannel.…”

“…The numerical method used here is the BEM (Brebbia et al, 1984). This method has been applied in our laboratory for several years to solve inverse problems (Le Niliot et Lefèvre, 2001). BEM is attractive for our inverse problem resolution because it provides a direct connection between the unknown boundary heat flux, the measurements (thermocouples here) and the linear heat sources (heating wires here).…”

Heating source localization in a reduced time

“…Le Niliot and Lefèvre (2001) investigated identification of multiple steady line heat sources in a diffusive system and proposed its application in a 2D experimental configuration. Always focused on 2D geometry, Lefèvre and Le Niliot (2002) estimated the location and strength of line heat sources using an identification procedure based on a boundary integral formulation with transient fundamental solutions.…”

The determination of two moving heat sources in two-dimensional inverse heat problem

“…The inverse problem with the unknown location and the unknown strength had been investigated in [14][15][16][17][18]. Niliot and Lefevre [14][15][16][17] used a boundary element method to formulate the problem and lead to a nonlinear optimization to identify the location and the strength of the source. Khachfe and Jarny [18] used a finite element method combined the conjugate gradient method to determine the heat transfer coefficient and the heat source.…”